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Finding the Fourth Proportional to 7,843.50, 11,766.27 and 4,145.87

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Solution

The fourth proportional to 7,843.50, 11,766.27 and 4,145.87 is: 6,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.50 : 11,766.27 = 4,145.87 : x
  2. Step 2: Convert to fraction form
    7,843.50/11,766.27 = 4,145.87/x
  3. Step 3: Cross multiply
    7,843.50x = 11,766.27 × 4,145.87
  4. Step 4: Simplify right side
    7,843.50x = 48,781,346.24
  5. Step 5: Solve for x
    x = 48,781,346.24/7,843.50
  6. Step 6: Final answer
    x = 6,219.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.